Below are listed rank-two temperaments supported by the 26edo patent val, below the indicated cutoff in TE badness.

5-limit temperaments with badness below 0.1

Listed is the wedgie and the TE badness times 1000 for three temperaments with badness less than 0.1.

Rank	Wedgie	Name	Badness	Commas
1	<<1 4 4]]	Meantone	7.381	81/80
2	<<35 62 17]]	Senior	21.22	|-17 62 -35>
3	<<12 22 7]]	Unidec	82.423	31381059609/31250000000

7-limit temperaments with badness below 0.06

Listed is the wedgie and the TE badness times 1000 for ten temperaments with badness less than 0.06.

Rank	Wedgie	Name	Badness	Commas
1	<<2 8 8 8 7 -4]]	Injera	31.130	50/49 81/80
2	<<3 12 -1 12 -10 -36]]	Mothra/Cynder	37.146	81/80 1029/1024
3	<<23 40 1 10 -63 -110]]	Gamera	37.648	4375/4374 589824/588245
4	<<12 22 -4 7 -40 -71]]	Unidec	38.393	1029/1024 4375/4374
5	<<1 4 -9 4 -17 -32]]	Flattone	38.553	81/80 525/512
6	<<58 102 -2 27 -166 -291]]	Orga	40.236	4375/4374 54975581388800/54936068900769
7	<<11 18 5 3 -23 -39]]	Quartonic	42.632	1728/1715 4000/3969
8	<<8 6 6 -9 -13 -3]]	Doublewide	43.462	50/49 875/864
9	<<35 62 -3 17 -103 -181]]	Seniority	44.877	4375/4374 201768035/201326592
10	<<9 10 -3 -5 -30 -35]]	Superkleismic	47.932	875/864 1029/1024

11-limit temperaments with badness below 0.05

Listed is the wedgie and the TE badness times 1000 for 18 temperaments with badness less than 0.05.

Rank	Wedgie	Name	Badness	Commas
1	<<12 22 -4 -6 7 -40 -51 -71 -90 -3]]	Unidec	15.479	385/384 441/440 4375/4374
2	<<58 102 -2 -16 27 -166 -226 -291 -390 -38]]	Orga	16.188	3025/3024 4375/4374 5767168/5764801
3	<<2 8 8 12 8 7 12 -4 0 6]]	Injera	23.124	45/44 50/49 99/98
4	<<3 12 -1 -8 12 -10 -23 -36 -60 -19]]	Mothra	25.642	81/80 99/98 385/384
5	<<9 10 -3 2 -5 -30 -28 -35 -30 16]]	Superkleismic	25.659	100/99 245/242 385/384
6	<<8 6 6 -4 -9 -13 -34 -3 -30 -32]]	Doublewide	32.058	50/49 99/98 875/864
7	<<1 4 -9 6 4 -17 6 -32 0 48]]	Flattone	33.839	45/44 81/80 385/384
8	<<10 14 14 8 -1 -6 -22 -7 -30 -26]]	Crepuscular	40.758	50/49 99/98 1944/1925
9	<<46 80 2 -10 20 -126 -175 -220 -300 -35]]	Hemigamera	40.955	3025/3024 4375/4374 202397184/201768035
10	<<6 -2 -2 10 -17 -20 -5 1 30 35]]	Lemba	41.563	45/44 50/49 385/384
11	<<11 18 5 14 3 -23 -16 -39 -30 22]]	Quarto	41.786	100/99 245/242 864/847
12	<<5 -6 7 4 -21 -3 -11 33 30 -13]]	Secund	42.562	45/44 99/98 385/384
13	<<70 124 -6 -22 34 -206 -277 -362 -480 -41]]		45.479	3025/3024 4375/4374 23737807549715/23706377367552
14	<<1 4 17 6 4 24 6 28 0 -42]]		46.139	45/44 81/80 1375/1344
15	<<1 4 -9 -20 4 -17 -35 -32 -60 -25]]		46.294	81/80 99/98 525/512
16	<<14 30 4 6 15 -33 -39 -75 -90 3]]		46.373	441/440 1344/1331 1728/1715
17	<<5 20 7 4 20 -3 -11 -40 -60 -13]]		47.915	81/80 99/98 864/847
18	<<7 2 15 16 -13 4 1 29 30 -7]]		49.066	45/44 99/98 875/864

13-limit temperaments with badness below 0.04

Listed is the wedgie and the TE badness times 1000 for 40 temperaments with badness less than 0.04.

Rank	Wedgie	Name	Badness	Commas
1	<<12 22 -4 -6 4 7 -40 -51 -38 -71 -90 -72 -3 26 36]]	Hendec	17.707	169/168 325/324 364/363 1716/1715
2	<<46 80 2 -10 50 20 -126 -175 -91 -220 -300 -180 -35 133 210]]	Hemigamera	20.416	1716/1715 2080/2079 2200/2197 3025/3024
3	<<9 10 -3 2 16 -5 -30 -28 -8 -35 -30 0 16 56 48]]	Superkleismic	21.478	100/99 105/104 245/242 1188/1183
4	<<2 8 8 12 18 8 7 12 21 -4 0 12 6 21 18]]	Injera	21.565	45/44 50/49 78/77 99/98
5	<<1 4 -9 6 -4 4 -17 6 -10 -32 0 -24 48 22 -36]]	Flattone	22.260	45/44 65/64 78/77 81/80
6	<<3 12 -1 -8 14 12 -10 -23 11 -36 -60 -12 -19 43 78]]	Mothra	23.954	81/80 99/98 105/104 144/143
7	<<10 14 14 8 12 -1 -6 -22 -18 -7 -30 -24 -26 -18 12]]	Crepuscular	24.368	50/49 78/77 99/98 144/143
8	<<14 30 4 6 22 15 -33 -39 -17 -75 -90 -60 3 47 54]]	Secant	25.035	144/143 351/350 364/363 441/440
9	<<6 -2 -2 10 2 -17 -20 -5 -19 1 30 12 35 13 -30]]	Lemba	25.477	45/44 50/49 65/64 78/77
10	<<5 -6 7 4 6 -21 -3 -11 -9 33 30 36 -13 -9 6]]		26.212	45/44 65/64 78/77 99/98
11	<<1 4 -9 -20 -4 4 -17 -35 -10 -32 -60 -24 -25 22 60]]		26.566	65/64 81/80 99/98 105/104
12	<<11 18 5 14 8 3 -23 -16 -28 -39 -30 -48 22 4 -24]]		27.692	78/77 100/99 144/143 245/242
13	<<21 32 -7 -4 20 2 -70 -79 -46 -106 -120 -72 13 82 84]]		28.393	325/324 364/363 441/440 2200/2197
14	<<11 18 5 -12 8 3 -23 -57 -28 -39 -90 -48 -51 4 72]]		28.818	99/98 169/168 275/273 385/384
15	<<5 20 7 4 6 20 -3 -11 -9 -40 -60 -60 -13 -9 6]]		29.285	78/77 81/80 99/98 144/143
16	<<8 6 6 -4 -6 -9 -13 -34 -39 -3 -30 -36 -32 -39 -6]]		29.481	50/49 78/77 99/98 875/864
17	<<7 2 -11 -10 -2 -13 -37 -40 -29 -31 -30 -12 10 35 30]]		30.043	65/64 100/99 105/104 245/242
18	<<8 6 6 -4 20 -9 -13 -34 2 -3 -30 24 -32 34 84]]		30.921	50/49 99/98 105/104 144/143
19	<<15 34 -5 -14 18 19 -50 -74 -27 -107 -150 -84 -22 69 114]]		30.934	351/350 385/384 441/440 1188/1183
20	<<4 16 -10 -2 10 16 -27 -17 1 -68 -60 -36 29 65 42]]		31.039	81/80 105/104 144/143 245/242
21	<<2 8 8 12 -8 8 7 12 -20 -4 0 -48 6 -52 -72]]		31.589	45/44 50/49 65/64 99/98
22	<<3 12 -1 -8 -12 12 -10 -23 -30 -36 -60 -72 -19 -30 -12]]		32.520	65/64 78/77 81/80 99/98
23	<<26 52 0 0 26 22 -73 -90 -55 -146 -180 -132 0 73 90]]		32.946	351/350 364/363 441/440 15379/15360
24	<<3 12 -1 18 14 12 -10 18 11 -36 0 -12 54 43 -18]]		34.124	45/44 78/77 81/80 640/637
25	<<20 28 2 -10 24 -2 -53 -85 -36 -74 -120 -48 -35 60 120]]		34.179	275/273 325/324 385/384 1573/1568
26	<<6 -2 -2 -16 2 -17 -20 -46 -19 1 -30 12 -38 13 66]]		34.689	50/49 65/64 99/98 105/104
27	<<8 6 6 22 20 -9 -13 7 2 -3 30 24 41 34 -12]]		35.040	45/44 50/49 78/77 325/324
28	<<1 4 17 6 -4 4 24 6 -10 28 0 -24 -42 -74 -36]]		35.184	45/44 65/64 81/80 1188/1183
29	<<17 16 3 -2 10 -14 -43 -62 -47 -38 -60 -36 -16 17 42]]		35.724	100/99 169/168 275/273 385/384
30	<<9 10 -3 2 -10 -5 -30 -28 -49 -35 -30 -60 16 -17 -42]]		36.254	65/64 78/77 100/99 245/242
31	<<32 50 -2 -16 28 5 -93 -136 -74 -145 -210 -120 -38 86 156]]		36.996	325/324 385/384 1573/1568 2200/2197
32	<<2 8 -18 -14 -8 8 -34 -29 -20 -64 -60 -48 23 44 24]]		37.031	65/64 81/80 105/104 245/242
33	<<13 26 13 0 26 11 -16 -45 -7 -43 -90 -36 -45 25 90]]		37.851	99/98 144/143 275/273 1040/1029
34	<<19 24 11 10 28 -6 -36 -50 -26 -42 -60 -24 -10 38 60]]		38.179	100/99 144/143 275/273 1040/1029
35	<<7 2 15 16 24 -13 4 1 12 29 30 48 -7 12 24]]		38.402	45/44 78/77 99/98 325/324
36	<<7 2 15 16 -2 -13 4 1 -29 29 30 -12 -7 -61 -66]]		39.063	45/44 65/64 99/98 275/273
37	<<25 48 9 -6 30 18 -56 -96 -45 -114 -180 -108 -48 51 126]]		39.183	351/350 640/637 1188/1183 1573/1568
38	<<1 4 17 6 22 4 24 6 31 28 0 36 -42 -1 54]]		39.550	45/44 78/77 81/80 1344/1331
39	<<2 8 8 -14 -8 8 7 -29 -20 -4 -60 -48 -67 -52 24]]		39.744	50/49 65/64 78/77 81/80
40	<<22 36 10 2 16 6 -46 -73 -56 -78 -120 -96 -29 8 48]]		39.891	169/168 325/324 364/363 640/637